Instagram has recently made it possible to watch Instagram Live streams on the web version of Instagram, this comes shortly after the company made direct messaging available on instagram.com too. While there wasn’t announcement of any sorts, Android Police noted that it was possible to view the live streams on the web version of Instagram, which will be helpful for users as you have a larger screen to use.
Also, the comments are separate from the video too.
Understandably, live videos can’t be broadcast from the web version at this time, but this certainly improves the experience for those watching them.
Source: Android Police